Humean approaches to laws of nature earn their epithet by denying that there exist `necessary connections' between distinct entities. By far the best worked out and most popular Humean analysis of laws of nature is the so-called `best systems analysis' developed in [1]}, [2]}, [3]}, and [4]}.For a more recent take on the Humean reductionist programme, see [5]}. What we describe below is what Hall calls the `official' Humean reductionist story, as opposed to the `unofficial' one according to which the best system is determined by the “epistemic standards for determining the nomological possibilities for the non-modal facts” (266) which are operative in science.
